Three-body unitarity with isobars revisited

Mai, M.; Hu, B.; Döring, M.; Pilloni, A.; Szczepaniak, A.

doi:10.1140/epja/i2017-12368-4

Title: Three-body unitarity with isobars revisited

Journal Article · 08 September 2017 · European Physical Journal. A

DOI: https://doi.org/10.1140/epja/i2017-12368-4 · OSTI ID:1389749

Mai, M. ^[1]; Hu, B. ^[1]; Döring, M. ^[2]; Pilloni, A. ^[3]; Szczepaniak, A. ^[4]

George Washington Univ., Washington, DC (United States)
George Washington Univ., Washington, DC (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Indiana Univ., Bloomington, IN (United States). Center for Exploration of Energy and Matter, Physics Dept.

The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. Here, we start from the 3->3 scattering amplitude for spinless particles, which contains an isobar-spectator scattering amplitude. Using a Bethe-Salpeter Ansatz for the latter, we derive a relativistic three-dimensional scattering equation that manifestly fulfills three-body unitarity and two-body unitarity for the sub-amplitudes. Furthermore, this property holds for energies above breakup and also in the presence of resonances in the sub-amplitudes.

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Research Organization:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)

Grant/Contract Number:: AC05-06OR23177; SC001658; PHY-1452055; 1415459

OSTI ID:: 1389749

Report Number(s):: JLAB-THY-17-2496; DOE/OR/23177-4206; arXiv:1706.06118; PII: 920

Journal Information:: European Physical Journal. A, Vol. 53, Issue 9; ISSN 1434-6001

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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